In a large pot on medium-high, combine chicken broth, beef broth, 1 cup water, lemongrass, garlic, ginger, coriander roots, steams and half of chile. Bring to a gentle boil then reduce heat to medium and simmer for 10 to 15 minutes, until flavors have infused the liquid. Strain and discard solids and return liquid to pan. Add kimchi and simmer for 5 minutes.